{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_welded_beam:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Welded Beam\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Definition**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Optimum**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plot**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "code": "usage_problem.py",
    "section": "bnh"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 395
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_problem\n",
    "from pymoo.util.plotting import plot\n",
    "\n",
    "problem = get_problem(\"welded_beam\")\n",
    "plot(problem.pareto_front(), no_fill=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
